4075553664 has 256 divisors, whose sum is σ = 14805504000. Its totient is φ = 1074788352.

The previous prime is 4075553639. The next prime is 4075553683. The reversal of 4075553664 is 4663555704.

4075553664 is a `hidden beast` number, since 4 + 0 + 7 + 55 + 536 + 64 = 666.

It is a super-2 number, since 2×4075553664² = 33220275336287649792, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 308017 + ... + 320975.

It is an arithmetic number, because the mean of its divisors is an integer number (57834000).

Almost surely, 2^4075553664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4075553664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7402752000).

4075553664 is an abundant number, since it is smaller than the sum of its proper divisors (10729950336).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4075553664 is a wasteful number, since it uses less digits than its factorization.

4075553664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13002 (or 12984 counting only the distinct ones).

The product of its (nonzero) digits is 1512000, while the sum is 45.

The square root of 4075553664 is about 63840.0631578635. The cubic root of 4075553664 is about 1597.3332744954. Note that the first 3 decimals are identical.

The spelling of 4075553664 in words is "four billion, seventy-five million, five hundred fifty-three thousand, six hundred sixty-four".